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4 years ago

Multiple 1.229 by 15 and round to the nearest cent

1 answer:

7 0

When you multipy 1.229 x 15 your answer is 18.435. Rounding to the nearest cent will only include 2 numbers after the decimal. Looking at 18.435, the last number, 5 will round your answer to 18.44

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A sum of $4200 was invested, part at 8% and the remainder at 11%. If $426.00 was earned in interest after one year, how much was

enot [183]

Answer:

$3000 was invested at 11%.

Step-by-step explanation:

The total interest was $426. This was comprised of interest earned at 8% (represented by e) and (separately) interest earned at 11% (represented by v).

Then e + v = $4200 total investment, and

i = $426 = e(0.08)(1 year) + v(0.11)(1 year)

We eliminate the variable e as follows: since e + v = $4200, e = $4200 - v. Thus,

i = $426 = e(0.08)(1 year) + v(0.11)(1 year) becomes:

i = $426 = ($4200 - v)(0.08)(1 year) + v(0.11)(1 year)

This is one equation in one unknown, the amount of $ invested at 11%.

Performing the indicated multiplications:

426 = 4200(0.08) - 0.08v + 0.11v. Simplifying this further, we get:

426 = 336 + 0.03v.

Then 90 = 0.03v, and v = 90 / 0.03 = $3000.

$3000 was invested at 11%.

6 0

3 years ago

Assuming the volume of a trigonal prism, who has a side of 10cm and a length of 20 cm, is 866cm^3, what is its surface area?

Leno4ka [110]

The surface area of the triangular prism is 686.6 cm².

Step-by-step explanation:

Step 1:

The volume of a triangular prism can be determined by multiplying its area of the triangular base with the length of the prism.

The base triangle has a base length of 10 cm and assume it has a height of h m.

The volume of the prism $= \frac{1}{2} (b)(h) (length) = \frac{1}{2} (10)(h)(20) = 866.$

$h = \frac{866(2)}{10(20)} = 8.66.$

The height of the triangle is 8.66 cm.

Step 2:

The surface area of the triangle is obtained by adding all the areas of the shapes in the prism. There are 2 triangles and 3 rectangles in a triangular prism.

The triangles have a base length of 10 cm and a height of 8.66 cm. A triangles area is half the product of its base length and height.

The rectangles all have a length of 20 cm and a width of 10 cm. The area of a rectangle is the product of its length and width.

The area of the 2 triangles $= 2 [\frac{1}{2} (10)(8.66)] = 86.6.$

The area of the 3 rectangle $= 3[(20)(10)] = 600.$

Step 3:

The surface area of the triangular prism $= 86.6 + 600 = 686.6.$

The surface area of the prism is 686.6 cm².

6 0

3 years ago

BRAINLIEST ASAP!!!!!!!!!! Please someone help

Illusion [34]

CouId be B

Don’t really know sorry

7 0

3 years ago

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Describe a real world situation that can be modeled by the equation y = 1/20x. be sure to describe what each variable represents

ivolga24 [154]

A real world example could be:
Consider x is time in minutes
Consider y is the amount of fish food required in grams

The equation could then represent how much food (in grams) that a fish needs to be fed x minutes after it was previously fed.

3 0

3 years ago

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Stephanie has $4,500 in her saving account.

AfilCa [17]

so whats the question

7 0

3 years ago